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Finding the Third Proportional to 509,303 and 1,079,318

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Solution

The third proportional to 509,303 and 1,079,318 is: 2,287,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,303 : 1,079,318 = 1,079,318 : x
  2. Step 2: Convert to fraction form
    509,303/1,079,318 = 1,079,318/x
  3. Step 3: Cross multiply
    509,303x = 1,079,318 × 1,079,318
  4. Step 4: Simplify right side
    509,303x = 1,164,927,345,124
  5. Step 5: Solve for x
    x = 1,164,927,345,124/509,303
  6. Step 6: Final answer
    x = 2,287,297.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.